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12213226368 = 273271514537
BaseRepresentation
bin10110101111111011…
…10000101110000000
31011112011100011221100
423113331300232000
5200003041220433
65335523454400
7611440465650
oct132775605600
934464304840
1012213226368
1151a8058812
12244a227400
1311c83a0085
1483c084360
154b733db13
hex2d7f70b80

12213226368 has 96 divisors (see below), whose sum is σ = 40165547760. Its totient is φ = 3489490944.

The previous prime is 12213226367. The next prime is 12213226369. The reversal of 12213226368 is 86362231221.

12213226368 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 2 + 2 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12213226367) and next prime (12213226369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213226367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749205 + ... + 765332.

Almost surely, 212213226368 is an apocalyptic number.

12213226368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12213226368 is an abundant number, since it is smaller than the sum of its proper divisors (27952321392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12213226368 is a wasteful number, since it uses less digits than its factorization.

12213226368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514564 (or 1514549 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 12213226368 its reverse (86362231221), we get a palindrome (98575457589).

The spelling of 12213226368 in words is "twelve billion, two hundred thirteen million, two hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1514537 3029074 4543611 6058148 9087222 10601759 12116296 13630833 18174444 21203518 24232592 27261666 31805277 36348888 42407036 48465184 54523332 63610554 72697776 84814072 95415831 96930368 109046664 127221108 145395552 169628144 190831662 193860736 218093328 254442216 290791104 339256288 381663324 436186656 508884432 581582208 678512576 763326648 872373312 1017768864 1357025152 1526653296 1744746624 2035537728 3053306592 4071075456 6106613184 12213226368